3 years ago

1 Simplify the expression

Mathematics

1 answer:

kakasveta [241]3 years ago

6 0

Where’s the expression

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Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=3/x^2-16

IgorC [24]

The answer is: $(f*g)(x)= \frac{3x-9}{x+4}$

Explanation

Given functions are.......

$f(x)=x^2-7x+12$

$g(x)= \frac{3}{x^2-16}$

For finding $(f*g)(x)$ , we just need to multiply the two functions $f(x)$ and $g(x)$ . So......

$(f*g)(x)= f(x)*g(x)\\ \\ (f*g)(x)= (x^2-7x+12)(\frac{3}{x^2-16})\\ \\ (f*g)(x)= [(x-3)(x-4)][\frac{3}{(x+4)(x-4)}]\\ \\ (f*g)(x)= \frac{3(x-3)}{x+4} = \frac{3x-9}{x+4}$

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